Finding the Third Proportional to 142,573,369,731 and 302,144,813,418
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Solution
The third proportional to 142,573,369,731 and 302,144,813,418 is: 640,312,341,972.71
Step by Step Solution
- Step 1: Write the proportion equation
142,573,369,731 : 302,144,813,418 = 302,144,813,418 : x - Step 2: Convert to fraction form
142,573,369,731/302,144,813,418 = 302,144,813,418/x - Step 3: Cross multiply
142,573,369,731x = 302,144,813,418 × 302,144,813,418 - Step 4: Simplify right side
142,573,369,731x = 91,291,488,275,398,035,243,008 - Step 5: Solve for x
x = 91,291,488,275,398,035,243,008/142,573,369,731 - Step 6: Final answer
x = 640,312,341,972.71
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.